Details

sample166.0ms

Algorithm

intervals

Results

73.0ms	849×	body	80	nan
17.0ms	200×	body	80	valid
10.0ms	21×	body	640	valid
8.0ms	6×	body	1280	valid
4.0ms	15×	body	320	valid
3.0ms	15×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.2b	(* (- x 1.0) (log y))
5.6b	(log (- 1.0 y))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 94

Calls

4 calls:

92.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
25.0ms	(* (- z 1.0) (log (- 1.0 y)))
19.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
64.0ms	(* (- z 1.0) (log (- 1.0 y)))
87.0ms	(* (- x 1.0) (log y))
58.0ms	(log (- 1.0 y))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1500
1	532
0	231

prune796.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y)))))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
0.2b	(* (- x 1.0) (log y))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `flip3--` `flip--`
25×	`*-un-lft-identity`
24×	`log-prod` `associate-*l/`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add` `add-cube-cbrt`
13×	`associate--l+`
12×	`frac-times`
11×	`add-log-exp`
10×	`pow1` `associate-+r+` `associate-r` `associate-l`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-+l+` `associate-*r/`
5×	`sub-neg` `distribute-lft-out--`
4×	`difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 129

Calls

4 calls:

88.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))) t)
22.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y)))))
248.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
24.0ms	(* (- x 1.0) (log y))

series637.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))) t)
200.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y)))))
88.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
76.0ms	(* (- x 1.0) (log y))

simplify2.8s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	4199
1	927
0	319

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (- x 1.0) (log (sqrt y))) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
0.2b	(* (- x 1.0) (log (sqrt y)))
0.2b	(* (- x 1.0) (log (sqrt y)))

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

82×	`associate-*l/`
68×	`frac-add`
66×	`flip3--` `flip--`
42×	`log-prod`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-times`
18×	`associate-r` `sqrt-prod`
15×	`pow1` `associate-l`
12×	`associate-+l+`
10×	`add-cbrt-cube` `associate-*r/` `add-exp-log`
9×	`add-log-exp`
7×	`log-pow`
6×	`associate--l+`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`sub-neg` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `associate-+r+`

Counts

4 → 176

Calls

4 calls:

41.0ms	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (- x 1.0) (log (sqrt y))) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))))
299.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
20.0ms	(* (- x 1.0) (log (sqrt y)))
21.0ms	(* (- x 1.0) (log (sqrt y)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (- x 1.0) (log (sqrt y))) (* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))))
88.0ms	(* (- z 1.0) (- (log 1.0) (+ (* (* 1/2 (/ y 1.0)) (/ y 1.0)) (* 1.0 y))))
70.0ms	(* (- x 1.0) (log (sqrt y)))
66.0ms	(* (- x 1.0) (log (sqrt y)))

simplify3.7s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
1	1616
0	466

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (- x 1.0) (log (cbrt (sqrt y)))) (* (- x 1.0) (log (cbrt (sqrt y))))) (* (- x 1.0) (log (cbrt (sqrt y)))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
28×	`associate-*l/`
20×	`frac-add`
18×	`associate-+r+` `log-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`sqrt-prod`
14×	`flip3--` `flip--`
9×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `flip3-+` `pow1/3` `flip-+`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `count-2`

Counts

4 → 87

Calls

4 calls:

101.0ms	(+ (+ (* (- x 1.0) (log (cbrt (sqrt y)))) (* (- x 1.0) (log (cbrt (sqrt y))))) (* (- x 1.0) (log (cbrt (sqrt y)))))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series921.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ (+ (* (- x 1.0) (log (cbrt (sqrt y)))) (* (- x 1.0) (log (cbrt (sqrt y))))) (* (- x 1.0) (log (cbrt (sqrt y)))))
220.0ms	(cbrt (sqrt y))
276.0ms	(cbrt (sqrt y))
221.0ms	(cbrt (sqrt y))

simplify2.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	2881
1	711
0	212

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

regimes1.2s

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	42
1	42
0	31

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.1s	24306×	body	80	nan
680.0ms	5885×	body	80	valid
423.0ms	788×	body	640	valid
275.0ms	252×	body	1280	valid
240.0ms	690×	body	320	valid
103.0ms	418×	body	160	valid